Answer:
m∠ABE = 27°
Step-by-step explanation:
* Lets look to the figure to solve the problem
- AC is a line
- Ray BF intersects the line AC at B
- Ray BF ⊥ line AC
∴ ∠ABF and ∠CBF are right angles
∴ m∠ABF = m∠CBF = 90°
- Rays BE and BD intersect the line AC at B
∵ m∠ABE = m∠DBE ⇒ have same symbol on the figure
∴ BE is the bisector of angle ABD
∵ m∠EBF = 117°
∵ m∠EBF = m∠ABE + m∠ABF
∵ m∠ABF = 90°
∴ 117° = m∠ABE + 90°
- Subtract 90 from both sides
∴ m∠ABE = 27°
Volume of sphere = 4/3 x pi x r^3
Volume of large sphere:
4/3 x 3.14 x 14^3 = 11488.21 cubic cm
Volume of smaller sphere:
4/3 x 3.14 x 2^3 = 33.49 cubic cm
Number of small spheres = volume of large sphere/ volume of small sphere
11488.21 / 33.49 = 343.03
Round to 343 small spheres
Answer:
- 8x + 3
Step-by-step explanation:
(f + g)(x)
= f(x) + g(x)
= - 5x + 3 + (- 3x)
= - 5x + 3 - 3x ← collect like terms
= - 8x + 3
Answer:
x=2 or 5/3
Step-by-step explanation:
the explanation is in the picture
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Answer:
x=c/a-b/a
Step-by-step explanation:
ax+b=c
1) Subtract b from both sides:
ax=c-b
2) Divide both sides by a:
x=c/a-b/a
